49. Consider y = f(x) > 0, x = a > 0, and x = b > a. If the volume of the solid formed by revolving R about the y-axis is 2, and the volume formed by revolving R about the line x = -2 is 107, find the area graphs of the region R bounded by the of R. y = f(x) R

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

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Q: find the region bounded by x= Y-y3 ,X=1 = 1 Y=L, revolved about o X- axis

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Set up the definite integral required to find the area of the region between the graph of y=x2-17…

A: First draw the curves and find their intersection  points then use integration to get the area.

Q: (13) Find the area of the region between the line y = 2x and the curve y =x² +x-2 %3D

A: The given two curves are y = 2x y = x2 + x - 2

Q: 1. Find the volume of the solid formed by revolving the region bounded by the graph of f (x) = -x² +…

A: Given problem:- Find the volume of the solid formed by revolving the region bounded by the graph of…

Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

A:

Q: 1. Sketch and find the area of the region bounded by y = In x, y =1- x and y = 2.

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Q: Find the area of the region bounded above by y = e x  , bounded belowby y =  x , and bounded on the…

A: Here the objective is to find the area of the region (A) that is bounded above by y = ex and bounded…

Q: 1.) Approximate the area under the curve y=f(x) between x=0 and x=10 using the Trapezoidal Rule with…

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Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

Q: What is the area of the region bounded above by y = -3 MX. 54-3-2-1 1 2 3 4 45 O ভাল লাল নাল O O O…

A:

Q: 1. Find the area bounded between the curves: y = x+1, y = -2x + 7 and x = 0 A. With respect to the X…

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Q: 28 Find the area of the region bounded by the curve y = (x-1)' and the x-axis from x=0 to x= 2.

A:

Q: 1. Find the area of the region between the curves y=x -4 and y=2-x.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 9. Find the exact area of the region bounded by y = x² – 2x + 1 and y = 7 – x

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Q: 4 Find the area bounded by Y 0, y = 0, x = 1. 256 – 16x² - Round to four decimal places.

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Q: The volume of a solid is described by the double integral L 3 x’y dydx If the order of the integral…

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Q: 4. Find the area of the region bounded by y = cos x, y = sin x, x = 0, x = %3| might have to break…

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Q: A solid is constructed between the graphs of y = f(x) and y = g(x) and the lines a = a and a = b so…

A: Let a triangular slice with thickness dx at a distance of x from the origin. The height of the…

Q: .2 What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis…

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Q: 3 Find the area Of the indicated region. between y=X and y= x2For x 'in

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Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

A:

Q: 1. Find the area bounded by the curves y – 2 = x² ,y = 6 and the y – axis ( in Quadrant I only), as…

A:

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the…

A: We sketch the region using a graphing calculator  The shaded region is rotating about the y axis

Q: 6. Find the area of the region bounded by y =1+cosx, y = 2, x=1.

A: Given curves are  y=1+cosxy=2x=π

Q: What is the area of br^2 of the region bounded by

A: The given question is taken from the calculus in which we have to find the area bounded by the given…

Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: To determine the area of the region bounded by x = y²-y-6 and x = 2y +4 first we have to calculate…

A: Given that curve x=y2-y-6 and                x=2y+4Solution :we have to find limits of the graph the…

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the xy…

A: We sketch the region using a graphing calculator  The shaded region rotates around the y axis

Q: 1. Find the area of the region bounded by y^2=8x and y=x

A: Region bounded by these two curves will be given as

Q: 1. Find the area bounded by y= (11 - x)1/2, the lines 3x = 2 and x = 10, and the X-axis. 2. Find…

A: The given problem is to find the area between given curves and also find the volume of solid…

Q: 1. Find the volume of the region between the graph of the function f(x, y) = 1 - (x² + y') and the…

A:

Q: 9. Consider the region bounded by the curves y = e", y = e¬¤ and y = 2. %3D

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Q: 2. Find the area between between x = 0 and x =9. y=√x-10 and y=0 10

A:

Q: 8. Find the volume generated when the plane area bounded by y=-x²-3x + 6 and x + y - 3 = 0 is…

A: Finding the volume generated by revolving along x and y axis

Q: 1. Find the area of the region bounded by the curves y = |x² - 4| and the curve y =x2 + 4 %3D

A: One of the two main parts of calculus is concerned with the study of integrals, as opposed to…

Q: 5. Given the region R bounded by y = 4-x² and the x-axis, find the horizontal ine y = k that divides…

A:

Q: 6. Find the area of the region bounded by the two curves of equat rens a) x=3-y² and f(x)= 3x (スー2)-…

A: Note:- In Part (a), you mention f(x) for 2nd curve but it is not mentioned for first curve. If i…

Q: 1. Find the area of the region bounded by the graphs of y = r and y = = Vx, from r = 0 to r = 2. 2

A:

Q: 1. Find the total area bounded by the curves y = sin (x), y = cos (x), x = 0, x = n. Graph curves.

A: Given curves are: y=sinxy=cosxx=π So the area between these curves are shown in diagram below: So,…

Q: Consider the region in the xy-plane that is bounded by y = 3 x^2 and y=3x for x ≥ 0. Revolve this…

A: Let the region in the xy-plane that is bounded by y=3x2 and y=3x for x ≥ 0.  We have to revolved…

Q: 2. Find the area bounded between the curves: y = x², y = 4 – 3x, and x = 2 %3D

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Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region bounded by x=y2-4 and x=3y. The rule for integration…

Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y-y3, x…

A: Consider the graph:

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

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Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

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Q: 4.Determine the area bounded above by y: 5 + x² and below by y = 1 + 2x²

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Q: 4. Find the area of the region bounded by the parabola x=y^2 +2 and the line y=x-8 *

A: Given curves are x=y2+2, y=x-8 We have to find the area bounded by this region.

Q: Set up the definite integral required to find the area of the region between the graph of y = 20 –-…

A:

Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.